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Finding the Fourth Proportional to 75.88, 114.33 and 67.59

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Solution

The fourth proportional to 75.88, 114.33 and 67.59 is: 101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.88 : 114.33 = 67.59 : x
  2. Step 2: Convert to fraction form
    75.88/114.33 = 67.59/x
  3. Step 3: Cross multiply
    75.88x = 114.33 × 67.59
  4. Step 4: Simplify right side
    75.88x = 7,727.17
  5. Step 5: Solve for x
    x = 7,727.17/75.88
  6. Step 6: Final answer
    x = 101.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.